TAILIEUCHUNG - II ADVANCED APPLICATION OF INDUSTRIAL SERVO DRIVES

INTRODUCTION Part I discussed the basics of industrial servo drives from a hardware point of view. Physical parameters and practical applications were discussed. Part II repeats some of the things in Part I but from a mathematical point of view. The advanced application of industrial servo drives requires the use of differential equations to describe mechanical, electrical, and fluid systems. As applied to servo drives there are numerous academic techniques to analyze these systems (., root locus, Nyquist diagrams, etc.). In working with industrial machinery we live in a sinusoidal world with such things as structural machine resonances. Thus frequency analysis. | II ADVANCED APPLICATION OF INDUSTRIAL SERVO DRIVES Copyright 2003 by Marcel Dekker Inc. All Rights Reserved 7 Background INTRODUCTION Part I discussed the basics of industrial servo drives from a hardware point of view. Physical parameters and practical applications were discussed. Part II repeats some of the things in Part I but from a mathematical point of view. The advanced application of industrial servo drives requires the use of differential equations to describe mechanical electrical and fluid systems. As applied to servo drives there are numerous academic techniques to analyze these systems . root locus Nyquist diagrams etc. . In working with industrial machinery we live in a sinusoidal world with such things as structural machine resonances. Thus frequency analysis is used in Part II to describe and analyze industrial servo systems. To solve the differential equations describing the physical systems of servo drives transformation calculus is used to obtain the required transfer functions for the components of servo drives and in analyzing the servo system. There are a multitude of academic textbooks and university courses dealing with feedback control. It is the purpose of Part II to show how the fundamentals of servo drives described in the many academic sources are applied in practice. Copyright 2003 by Marcel Dekker Inc. All Rights Reserved PHYSICAL SYSTEM ANALOGS QUANTITIES AND VECTORS As a beginning analogous parameters for an electrical system a linear mechanical system and a rotary mechanical system are compared for future reference. In all physical systems there are scalar quantities and vector quantities. Vector quantities can be represented as complex numbers on a complex plane in polar form or in exponential form as in Eq. to . Scalar Quantities a Magnitude only b Examples length of a line mass volume -------------- Vector Quantities a Magnitude and direction b Examples force voltage weight velocity Complex Numbers A .

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